Consider the equation of a circle x^2-2x+y^2-4y-4=0. If the line 2x-y+a=0 is its diameter. Then find the value of a.

Answers

Answer 1

Answer:

a=0

Step-by-step explanation:

x²-2x+y²-4y-4=0

(x²-2x+1)+(y²-4y+4)-9=0

(x-1)² + (y-2)² = 3²

Center: (1,2)     radius: 3

(1,2) on line 2x-y+a=0

2*1 - 2 + a = 0

a = 0


Related Questions

What is the value of x and y?

Answers

Answer:

x = 90y = 43

Step-by-step explanation:

The angle bisector in this isosceles triangle is also its altitude. It meets the base segment at right angles.

  x° = 90°

__

The acute angles in a right triangle are complementary.

  y° = 90° -47°

  y° = 43°

458 divided by 31 using compatible numbers

Answers

14.77

458 / 31 = 14.77

It is actually a rational answer meaning it continues to go in terms (and doesn't stop) so I only included the smallest decimal degits in the answer.

Answer: 14

Step-by-step explanation:

 0 1 4

 3 1 ⟌ 4 5 8

     - 0    

       4 5  

     - 3 1  

       1 4 8

     - 1 2 4

         2 4

The sum of the measures of the angles in a triangle is 1800. If two of the angles are 72 and 76 degrees, what is the missing angle measure?

Answers

Answer:

32

Step-by-step explanation:

72 + 76 = 148

180 - 148 = 32

I hope this helps!!

Find the monthly house payments necessary to amortize a 10.8% loan of $125,800 over 20 years.
.
The payment size is $

Answers

Answer:

13,586400000000001 per time  

Step-by-step explanation:

Solve for the value of x

Answers

Answer:

x=9

Step-by-step explanation:

To solve for x, you can set up a proportion between the 2 triangles we see.

The small triangle can be written as [tex]\frac{16}{20}[/tex], and the large triangle can be written as [tex]\frac{16+12}{20+2x-3} = \frac{28}{2x+17}[/tex].

Set both proportions equal to each other.

[tex]\frac{16}{20}=\frac{28}{2x+17}[/tex]

Cross multiply and solve for x.

[tex]16(2x+17)=(28)(20)[/tex]

32x+272=560

32x=288

x=9

write an equation in slope-intercept form for the line with y-intercept −8 and slope 1/3.

Answers

Answer:

y = x/3 - 6

Step-by-step explanation:

yeah-ya......... right?

Six movie tickets cost $96 what is the cost per ticket

Answers

Cost of 6 tickets = $ 96

Cost of 1 ticket = ?

Cost of 1 ticket = 96/6

Cost per ticket = $ 16

______

Hope it helps ⚜

Step-by-step explanation:

6 tickets=$96

1 ticket =96/6

=16

somebody please help me:(

Answers

How do you need help?
It would be 15 units

what is the slope of the line of (4,6) and (-16,-18)

Answers

Hi!

To solve this, we simply use the equation shown in the image below:

What this means is the change in y over the change in x.

We use the two points and plug them in the equation like so:

[tex]\frac{6 - - 18}{4--16} =\frac{6+18}{4+16} =\frac{24}{20} =\frac{6}{5}[/tex]

Therefore your answer is [tex]\frac{6}{5}[/tex].

Hope this helps! Have a fantastic day! :D

Let me know if you need any other help.

Solve the inequality 2x^2-6>0

Answers

Answer:0

Step-by-step explanation:

For lunch, I ate a toasted cheese sandwich and it has 450 calories and 16g protein with some baked potato fries and it has 230 calories and 3g protein. How much protein and calories did I eat in all?

Answers

Answer:

Give the person above me brainliest

Step-by-step explanation:

Which equation results from adding the equations in this system?

-8x+8y=8
3x-8y=-18

Answers

Answer:

-5x=-10

Step-by-step explanation:

Adding both equations will result in this

What is 5/8 divided by 1/4

Answers

Answer:

the answer should be 2.5

Step-by-step explanation:

when divided 5/8 u get 0.625 and when u divided 1/4 u get 0.25 and u divided both answer u get 2.5

You use substitution to solve a system of equations and, after simplifying, end with a statement that says 7 7. Describe what this statement means about the number of solutions and about the graph of the system.​

Answers

Answer:

Sample Response: Since the statement is true, there are an infinite number of solutions to the system. This statement also indicates that the lines are equivalent.

The polygons are similar. Find the value of each variable.

Answers

Answer:

z = 2

Step-by-step explanation:

Similar figures have equal ratios of corresponding sides:

z / (z + 4) = 3/ 99z = 3(z + 4)9z = 3z + 129z - 3z = 126z = 12z = 2

Which ordered pair is in the solution set of 3x − 2y ≥ -1?​​​
F.(-2, -2.5)
G.(-1, 1)
H.(2, 4)
J.(1, 2.5)

Answers

Answer:

G

Step-by-step explanation:

Therefore, the option [tex]G(-1,1)[/tex] is correct.

What is the inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here given inequality equation

[tex]3x- 2y \geq -1[/tex]

When the points [tex](-1,1)[/tex] so it would be

[tex]3(-1)-2(1)\geq -1\\\\-3-2\geq -1\\\\-5\geq -1[/tex]

Hence, the option [tex]G(-1,1)[/tex] is correct.

To know more about the inequality

https://brainly.com/question/12679763

#SPJ6

How do I find the degree measure?​

Answers

Answer:

The Degree Measure of the Angle = Radian x (180/)

Luke portrays this time in Jesus’ ministry as very successful, but he starts giving hints of things to come. For instance, after the healing of the boy, Jesus seems to randomly say that he is going to be betrayed. Why would Jesus have picked that time to say such a thing? I think Jesus picked this time to warn the disciples about what was going to happen.

Answers

Perhaps he had healed the boy the town’s people would think that he didn’t heal him,so they could do something and or try to hurt Jesus.

HELP PLEASE I'll give Brainly

Answers

Answer:

A is a 2 in the tenth place of the difference

Which pair of fractions in not equivalent fractions? Please answer it’s a test

Answers

Answer:

7/8 , 5/6

Explanation:

7/8 , 5/6 are the only fractions that are not equivalent fractions as when they are simplified they don't share the same fraction. Hope this helps.

What is the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) with a straightedge and a compass?

Answers

The next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.

To construct angle MNO congruent to the given angle ABC, the following conditions must be satisfied:

The two angles must be equal (∠ABC = ∠MNO).The radius of the two triangles must be equal.The radius from center N must be equal to radius BA and BC.The radius of angle MNO is NO and it must equal BA and BC

Thus, we can conclude that, the next step in constructing an angle (MNO ) congruent to the given angle (ABC ) is, using N as the center and the same radius as before, draw an arc that intersects |NO|. label the arc PQ where Q intersects |NO|.

Learn more about construction of congruent angles here: https://brainly.com/question/20097419

In 2020 researchers took random samples to compare the proportion of adult females to the proportion of adult males who use 2 or more credit/debit cards. The adults were aged 21 and older and they lived in all areas of the U.S. Based on the data collected, the researchers computed a 96 percent confidence interval for the true difference between the proportions of adult females minus the proportion of adult males who use 2 or more credit/debit cards. The confidence interval is: (0.013, 0.049). Assume all checks have been verified.
Question:
Choose the best answer below concerning the confidence interval for the difference between the true proportions of adult females minus the true proportion of adult males who use 2 or more credit/debit cards.

Answers

Using the z-distribution, it is found that the correct option is:

[tex]p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]

A confidence interval is given by:

[tex]p \pm zs[/tex]

In which:

p is the estimate of the proportion.z is the critical value.s is the standard error.

In this problem, the proportions are:

A proportion [tex]p_1[/tex] in a sample of size [tex]n_1[/tex].[tex]p_2[/tex] in a sample of size [tex]n_2[/tex].

Hence, the standard errors are:

[tex]s_1 = \sqrt{\frac{p_1(1 - p_1)}{n_1}}, s_2 = \sqrt{\frac{p_2(1 - p_2)}{n_2}}[/tex]

When two proportions are subtracted, the estimate is the subtraction of proportions, while the standard error of the subtraction is the square root of the sum of each standard error squared, hence:

[tex]p = p_1 - p_2[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]

Thus, the interval is:

[tex]p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}[/tex]

A similar problem is given at https://brainly.com/question/12517818

6w+8+4w-3=_w
What’s the awsner

Answers

Answer:

5= -2w i think

Step-by-step explanation:

6w+8+4w-3 = w

8-3= -6w - 4w

5 = -2w

Question
The width of the rectangle is 40% of its length. What is the area of the rectangle?
The length is 20 feet. What is the anwser in feet squared

Answers

Answer:

  160 ft²

Step-by-step explanation:

The width is 40% of the length, so is ...

  0.40 × 20 ft = 8 ft

The area is the product of length and width:

  A = LW

  A = (20 ft)(8 ft) = 160 ft²

What is the sum of the coefficients in the expression below?
22°y2 + 5x+ y2 - 6xy' +7

Answers

Answer:

485y to the power 2 + 5x to the power 2 - 6xy to the power 3 + 7

Step-by-step explanation:

I hope this helps. Also, there's this free app called Quick Math. If you need the steps, you should check there first, and maybe you should try that for other math problems as well.

Good luck and have a great rest of your day.

help me please I'm stuck on this question!!!!​

Answers

Answer:

1: 2.8

Step-by-step explanation:

15:42

Divide each side by 15

15/15 : 42/15

1: 2.8

HELP

HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.

THX

100 point on the line

Answers

Answer:

2^5, 6^2 ,3^4, 5^3

Step-by-step explanation:

6^2 = 36

3^4 = 81

2^5 = 32

5^3 = 125

Answer:

Step-by-step explanation:

HELP ME PLEASEEEEEEE I WILL GIVE POINTS AND BRAINLIEST

Answers

The answer is < A hope this helps

please help! ASAP I need help fast!!

Answers

Answer: 4.8

Explanation: divide total needed of blue paint (3) by 1/2 to find the ratio, which is 6. then multiply that by 4/5 to get the total of yellow paint, which is 4.8

Would you use SSS or SAS to prove the triangles​ congruent? If there is not enough information to prove the triangles by SSS or​ SAS, write​ "not enough​ information". Explain your answer.

Write a congruence statement and give a reason why the triangles are congruent. Select the correct choice below​ and, if​ necessary, write the vertices of the second triangle in the correct order.

Answers

Answer:

option B is correct answer. ∆SVZ~=∆YVX, SSS

Step-by-step explanation:

reasons,

VY=VS, S

YX=SZ, S

VX=VZ, S

therefore, ∆SVZ~=∆YVX.

hope this helps you.

The two triangles are congruent by side angle side property. The correct option is A.

What is congruency?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

Given that there are three triangles and these three triangles are connected to each other at the centres' A, B, and C.

The diameter of the three circles is HF, DF, and DH. The three diameters are similar in shape and are also equal to each other.

To know more about congruency follow

brainly.com/question/2938476

#SPJ2

Other Questions
Answer the following question. Support your answers with evidence from the chapter.18. What is one major way in which medieval Muslims scholars helped build a foundation for modern civilization?.19. How did the Quran affect the development of Islamic art?20. How did its geographic location contribute to the growth of the Safavid Empire?21.. Which of the Muslim empires was the greatest? Be sure to explain what you mean by great.INTERPRET MAPS22. Across what region had Islam spread by the time of Muhammads death in 632?23. To what continents had Islam spread by 661? hi i need help now 333hg77 In which situation would you most likely factor out -1 from a trinomial?A. When the coefficient of x is negative B. When the constant term is negative C. When the coefficient of x^2 is negative Five times the difference of a number and 8 is 19. 1 If you measured the distance travelled by a snail ininches and the time it took in minutes, what wouldbe the units of its speed? The force involved in falling of an apple from a tree is known as? (a) Magnetic force (b) electrostatic force (c) Contact force (d) gravitational force Write a two-column proof.I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!refer to images for questionMUST WRITE FULL PROOF REALTORS: a. protect and promote the interests of their clients. b. treat all parties honestly. c. promote their interests over their clients' interests. d. A and B only. Why do you think the Stone Age people made such big graves for their dead? PLZ ANSWER THIS FAST How did the winds affect columbus' journey? . Which mythological beast would a hero encounter in or near water? Is science based off observations? Explain how observations are important to your experiment. ????????????????????? For this equation: I don't care what the answer is, I need to know how to solve for it. Thanks.Which of the following sets shows all the numbers from the set {3, 4, 5, 6} that are part of the solution to the equation 5x + 4 < 29? (4 points){4, 5, 6}{3, 4, 5}{3, 4}{3} The Parthenon, a great building of the Acropolis, table devide by 666 multypli by 9999999999999999999999999999999 please help faster 50 seccond remaoning Can someone please help me Complete the sentences using the present progressive. (10pts)Usted(escribir) un correo electrnico.Mi hermano(ver) el peridico.Ricardo(tocar) la guitarra.Mi madre(preparar) la cena por toda la familia(trabajar) en un proyecto muyNosotrosimportante Simple true or false...d/dx{x^3e^x]=x^3e^x(3x+2)True or false